4 papers · 1 filter
Wavefront sets for genuine representations of -covers of Kazhdan--Patterson or Savin types
Fan Gao, Runze Wang, Jiandi Zou
First, we consider general Brylinski--Deligne covers of the -adic general linear groups, and discuss the theory of Bernstein--Zelevinsky derivatives. We also recall the Zelevins…
The K_+-fixed vectors of Iwahori-spherical GL_n-representations: connections with Zelevinsky's segments
Runze Wang
We study the space of K_+-fixed vectors of Iwahori-spherical representations of GL_n over a non-archimedean local field. For a generic Iwahori-spherical representation, we show tha…
Classify all representation which contains a Steinberg in its hyperspecial subgroup
Runze Wang
This paper addresses Question 1 posed by Dipendra Prasad in his recent problem list: classify all irreducible smooth representations of an unramified reductive p-adic group such th…
Geometric wavefront sets of genuine Iwahori-spherical representations
Fan Gao, Runze Wang
For Iwahori-spherical genuine representations of central covers with positive real Satake parameters, we prove the upper bound inequality for their geometric wavefront sets, formul…